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Surface Elasticity Models: Comparison Through the Condition of the Anti-plane Surface Wave Propagation

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State of the Art and Future Trends in Material Modeling

Part of the book series: Advanced Structured Materials ((STRUCTMAT,volume 100))

Abstract

In order to discuss the peculiarities of few models of surface elasticity we consider here the dispersion relations for anti-plane surface waves. We show that the dispersion curves are quite sensitive to the choice of the model. We consider here the linear Gurtin-Murdoch model, strain- and stress-gradient surface elasticity models.

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Authors and Affiliations

  1. Faculty of Civil and Environmental Engineering, Gdańsk University of Technology, ul. Gabriela Narutowicza 11/12, 80-233, Gdańsk, Poland

    Victor A. Eremeyev

  2. Southern Federal University, Milchakova str. 8a, 344090, Rostov on Don, Russia

    Victor A. Eremeyev

  3. Southern Scientific Center of RASci, Chekhova str. 41, 344006, Rostov on Don, Russia

    Victor A. Eremeyev

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  1. Victor A. Eremeyev
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Correspondence to Victor A. Eremeyev .

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Editors and Affiliations

  1. Faculty of Mechanical Engineering, Otto von Guericke University Magdeburg, Magdeburg, Sachsen-Anhalt, Germany

    Holm Altenbach

  2. Faculty of Mechanical Engineering, Esslingen University of Applied Sciences, Esslingen, Germany

    Andreas Öchsner

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Eremeyev, V.A. (2019). Surface Elasticity Models: Comparison Through the Condition of the Anti-plane Surface Wave Propagation. In: Altenbach, H., Öchsner, A. (eds) State of the Art and Future Trends in Material Modeling . Advanced Structured Materials, vol 100. Springer, Cham. https://doi.org/10.1007/978-3-030-30355-6_5

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